What is the answer to ((x-2))/3-((3x-1))/4 =x+((3x+2))/5 ?

The answer to ((x-2))/3-((3x-1))/4 =x+((3x+2))/5 is x=-49/121

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((x-2))/3-((3x-1))/4 =x+((3x+2))/5

\frac{( x - 2 )}{3} - \frac{( 3 x - 1 )}{4} = x + \frac{( 3 x + 2 )}{5}

x = - \frac{49}{121}

Decimal Notation

x = - 0.40495 \dots

Solution steps

\frac{( x - 2 )}{3} - \frac{( 3 x - 1 )}{4} = x + \frac{( 3 x + 2 )}{5}

\frac{x - 2}{3} - \frac{3 x - 1}{4} = x + \frac{3 x + 2}{5}

Multiply by LCM

20 (x - 2) - 15 (3 x - 1) = 60 x + 12 (3 x + 2)

Expand

12 (3 x + 2) : 36 x + 24

- 25 x - 25 = 60 x + 36 x + 24

Add similar elements:

60 x + 36 x = 96 x

- 25 x - 25 = 96 x + 24

Expand

20 (x - 2) - 15 (3 x - 1) : - 25 x - 25

- 25 x - 25 = 96 x + 24

Move

25

to the right side

- 25 x = 96 x + 49

Move

96 x

to the left side

- 121 x = 49

Divide both sides by

- 121

x = - \frac{49}{121}

3 x^{2} - 6 x - 240

- 2 - 2 i

x^{2} (x - 1) < 6 x

\frac{h}{- 2} > 6

What is the answer to ((x-2))/3-((3x-1))/4 =x+((3x+2))/5 ?
The answer to ((x-2))/3-((3x-1))/4 =x+((3x+2))/5 is x=-49/121
Solve for x: ((x-2))/3-((3x-1))/4 =x+((3x+2))/5
The solution is x=-49/121